Hyperbolic Control Sets and Chain Control Sets

  • Authors:

  • F. Colonius;Weihua Du

  • Affiliations:

  • Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany. colonius@math.uni-augsburg.de;Mathematical Department, Harbin Engineering University, 150001 Harbin, China. math17@163.net

  • Venue:
  • Journal of Dynamical and Control Systems
  • Year:
  • 2001

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Abstract

A shadowing lemma for hyperbolic control flows is proved. A consequence is that hyperbolic chain control sets are closures of control sets.